Date of Award

1991

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

First Advisor

Robert V. Perlis

Abstract

This dissertation provides a method to construct infinite families of triples ($H\sb{i},H\sbsp{i}{\prime},G\sb{i}$) consisting of two non-conjugate subgroups $H\sb{i}$ and $H\sbsp{i}{\prime}$ of a finite group $G\sb{i}$ whose trivial representations induce isomorphic representations of $G\sb{i}$. Such triples are important in number theory, differential geometry, and group theory.

Pages

27

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